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Simplifying -2 = 5 + -1(5n + -3) Reorder the terms: -2 = 5 + -1(-3 + 5n) -2 = 5 + (-3 * -1 + 5n * -1) -2 = 5 + (3 + -5n) Combine like terms: 5 + 3 = 8 -2 = 8 + -5n Solving -2 = 8 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -2 + 5n = 8 + -5n + 5n Combine like terms: -5n + 5n = 0 -2 + 5n = 8 + 0 -2 + 5n = 8 Add '2' to each side of the equation. -2 + 2 + 5n = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 8 + 2 5n = 8 + 2 Combine like terms: 8 + 2 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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